All Problems

Mechanical Oscillations

Problem 4.89

Due to the external vertical force \(F_{x}=F_{0}\) cos wt a body suspended by a spring performs forced steady-state oscillations according to the law \(x=a \cos (\omega t-\varphi)\). Find the work performed by the force \(F\) during one oscillation period.

Reveal Answer
A=πaF0sinφA=\pi a F_{0} \sin \varphi